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Finding the Fourth Proportional to 608.42, 834.16 and 597.50

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Solution

The fourth proportional to 608.42, 834.16 and 597.50 is: 819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.42 : 834.16 = 597.50 : x
  2. Step 2: Convert to fraction form
    608.42/834.16 = 597.50/x
  3. Step 3: Cross multiply
    608.42x = 834.16 × 597.50
  4. Step 4: Simplify right side
    608.42x = 498,410.60
  5. Step 5: Solve for x
    x = 498,410.60/608.42
  6. Step 6: Final answer
    x = 819.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.